Articles dans des revues à comité de lecture
|Boundary field induced first-order transition in the 2D Ising model: Exact study|
|Clusel M., Fortin J.-Y.|
|Journal of Physics A: Mathematical and General 39 (2006) 995|
|DOI : 10.1088/0305-4470/39/5/001|
|ArXiv : cond-mat/0510685 [PDF]|
We present in this paper an exact study of a first-order transition induced by an inhomogeneous boundary magnetic field in the 2D Ising model. From a previous analysis of the interfacial free energy in the discrete case (Clusel and Fortin 2005 J. Phys. A: Math. Gen. 38 2849) we identify, using an asymptotic expansion in the thermodynamic limit, the line of transition that separates the regime where the interface is localized near the boundary from the one where it is propagating inside the bulk. In particular, the transition line has a strong dependence on the aspect ratio of the lattice.